11.4 Equivalent Fractions

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numbers in the fractions are different. For example, 1/2 and 2/4 are equivalent fractions.

Front

How do you find equivalent fractions?

Back

To find equivalent fractions, you can multiply or divide the numerator and the denominator of a fraction by the same non-zero number. For example, for the fraction 1/3, multiplying both the numerator and denominator by 2 gives you 2/6, which is equivalent.

Front

What is the numerator in a fraction?

Back

The numerator is the top number in a fraction that indicates how many parts of the whole are being considered.

Front

What is the denominator in a fraction?

Back

The denominator is the bottom number in a fraction that indicates the total number of equal parts the whole is divided into.

Front

What is the relationship between equivalent fractions?

Back

Equivalent fractions have the same value but different numerators and denominators. They can be simplified or expanded to show this relationship.

Front

If 1/4 is equivalent to x/8, what is x?

Back

x = 2. (1/4 = 2/8)

Front

If 2/5 is equivalent to x/15, what is x?

Back

x = 6. (2/5 = 6/15)

Front

If 3/6 is equivalent to x/12, what is x?

Back

x = 6. (3/6 = 6/12)

Front

If 4/8 is equivalent to x/16, what is x?

Back

x = 8. (4/8 = 8/16)

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.